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Finding the Fourth Proportional to 1,977.28, 2,964.06 and 677.82

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Solution

The fourth proportional to 1,977.28, 2,964.06 and 677.82 is: 1,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.28 : 2,964.06 = 677.82 : x
  2. Step 2: Convert to fraction form
    1,977.28/2,964.06 = 677.82/x
  3. Step 3: Cross multiply
    1,977.28x = 2,964.06 × 677.82
  4. Step 4: Simplify right side
    1,977.28x = 2,009,099.15
  5. Step 5: Solve for x
    x = 2,009,099.15/1,977.28
  6. Step 6: Final answer
    x = 1,016.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.